Abstract #300969

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JSM 2002 Abstract #300969
Activity Number: 321
Type: Contributed
Date/Time: Wednesday, August 14, 2002 : 12:00 PM to 1:50 PM
Sponsor: Section on Quality & Productivity*
Abstract - #300969
Title: Comparison of Influence Function and Hotelling's T-Square
Author(s): John Griffith*+ and John Young and Rebekah Griffith
Affiliation(s): McNeese State University and McNeese State University and McNeese State University
Address: P.O. Box 91735, Lake Charles, Lousiana, 70609,
Keywords: Hotelling's T-Square ; influence function ; outliers ; multivariate SPC
Abstract:

Hotelling's T-Square, applied to historical bivariate data, forms an ellipse which defines a control region. Observations with the ellipse are considered "in control," while those external are considered outliers. Hampel's influence function, applied to bivariate correlation, has been shown to define a set of hyperbolae, useful in detecting influential points. We investigate the relationship between the influence functions and the T-Square statistic. The utility of both functions for detecting outliers, and extension to multivariate systems, are demonstrated and compared for various data sets.

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